The high-luminosity upgrade of the LHC will lead to a substantial reduction of the statistical error in experiments regarding beyond the standard model research. In order to reach reliable conclusions from the experiments, the precision of theoretical predictions has to be improved accordingly. In particular, this concerns the effects of double parton scattering (DPS), which can be parameterized through so-called double parton distributions (DPDs). The corresponding contribution to the proton-proton scattering cross section involves the following integral over the transverse quark distance \({y}\)  [1]}:
